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Finding the Fourth Proportional to 298.03, 410.87 and 293.93

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Solution

The fourth proportional to 298.03, 410.87 and 293.93 is: 405.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.03 : 410.87 = 293.93 : x
  2. Step 2: Convert to fraction form
    298.03/410.87 = 293.93/x
  3. Step 3: Cross multiply
    298.03x = 410.87 × 293.93
  4. Step 4: Simplify right side
    298.03x = 120,767.24
  5. Step 5: Solve for x
    x = 120,767.24/298.03
  6. Step 6: Final answer
    x = 405.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.